tach person in a representative sample of 449 college students age 18 to 24 was dassifed according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldnt have money to pay the bil when it arrived Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table. Age 18 to 20 Age 21 to 22 Age 23 to 24 73 62 Rarely 38 34 32 Sometimes 42 40 Frequently 13 24 32 A USE SALT Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a0.01. State the appropriate null and altemative hypotheses. ON The proportions falling into each of the three age groups are not the same for all four responses to the gvestion. H The proportions faling into each of the three age groups are the same for all four responses to the question. OH The proportions falling into each of the three age groups are the same for all four responses to the question. H The proportions faling into each of the three age groups are not the same for all four responses to the question. OH There is no association between age group and the response to the question. H There is an association between age group and the response to the question. OM There is an association between age group and the response to the question. H There is no association between age group and the response to the question. Calculate the test statistic. (Round your answer to two decimal places.) Use technology to calculate the Prvalue. (Round your answer to four decimal places.) Pvalue State the concusion in the problem context. O ral to reject H. There is not convincing evidence that there is an association between age group and the response to the question, O Reject M There is convincing evidence that there is an association between age group and the response to the question. O ral to reject H There is convincing evidence that there is an association between age group and the response to the question. O Reject H There is not convincing evidence that there is an association between age group and the response to the question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Each person in a representative sample of 449 college students age 18 to 24 was classified according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldn't have money to pay the bill when it arrived?" Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table.
Age 18 to 20
Age 21 to 22
Age 23 to 24
Never
73
62
29
Rarely
38
34
32
Sometimes
30
42
40
Frequently
13
24
A USE SALT
Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a = 0.01.
State the appropriate null and alternative hypotheses.
O H: The proportions falling into each of the three age groups are not the same for all four responses to the question.
H: The proportions falling into each of the three age groups are the same for all four responses to the question.
O Hg: The proportions falling into each of the three age groups are the same for all four responses to the question.
H: The proportions falling into each of the three age groups are not the same for all four responses to the question.
O Hg: There is no association between age group and the response to the question.
H: There is an association between age group and the response to the question.
O H: There is an association between age group and the response to the question.
H: There is no association between age group and the response to the question.
Calculate the test statistic. (Round your answer to two decimal places.)
x* =
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value =
State the conclusion in the problem context.
O Fail to reject H. There is not convincing evidence that there is an association between age group and the response to the question.
O Reject Hg. There is convincing evidence that there is an association between age group and the response to the question.
O Fail to reject H. There is convincing evidence that there is an association between age group and the response to the question.
O Reject Hg. There is not convincing evidence that there is an association between age group and the response to the question.
Transcribed Image Text:Each person in a representative sample of 449 college students age 18 to 24 was classified according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldn't have money to pay the bill when it arrived?" Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table. Age 18 to 20 Age 21 to 22 Age 23 to 24 Never 73 62 29 Rarely 38 34 32 Sometimes 30 42 40 Frequently 13 24 A USE SALT Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. O H: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: The proportions falling into each of the three age groups are the same for all four responses to the question. O Hg: The proportions falling into each of the three age groups are the same for all four responses to the question. H: The proportions falling into each of the three age groups are not the same for all four responses to the question. O Hg: There is no association between age group and the response to the question. H: There is an association between age group and the response to the question. O H: There is an association between age group and the response to the question. H: There is no association between age group and the response to the question. Calculate the test statistic. (Round your answer to two decimal places.) x* = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Fail to reject H. There is not convincing evidence that there is an association between age group and the response to the question. O Reject Hg. There is convincing evidence that there is an association between age group and the response to the question. O Fail to reject H. There is convincing evidence that there is an association between age group and the response to the question. O Reject Hg. There is not convincing evidence that there is an association between age group and the response to the question.
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